How many square feet of carpet will be needed to recarpet the hallway?


A.
197 square feet
B.
321 square feet
C.
425 square feet
D.
554 square feet
E.
672 square feet

Final answer:

To predict the population of the town in 2040 using an exponential growth model, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time. Given the population in 2010 and 2000, we can calculate the growth rate and substitute the values into the formula to predict the population in 2040.

Explanation:

To construct an exponential growth model to predict the population of the town in 2040, we can use the formula P(t) = P₀ * (1 + r)^(t - t₀), where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t₀ is the initial time.

Given that the population in 2010 was 89154 and in 2000 was 79601, we can calculate the growth rate as follows:

Growth rate = (Population in 2010 - Population in 2000) / Population in 2000 * 100%

Growth rate = (89154 - 79601) / 79601 * 100%

Growth rate ≈ 11.98%

Now we can substitute the values into the exponential growth model and predict the population in 2040, which is 30 years after 2010:

P(2040) = 89154 * (1 + 0.1198)^(2040 - 2010)

P(2040) ≈ 89154 * 1.1198^30 ≈ 89154 * 4.676

P(2040) ≈ 417204.504

The answer is that Jade's chickens laid more eggs. Since Jade's farm includes 9 chickens, which each laid 3 eggs, multiply 9 and 3 and you get 27. Edna's farm has chickens which, in total, laid 23 eggs, leading to Jade's chickens with 27 eggs to be more than the eggs laid by Edna's chickens. :)

Answer:

Jade's chickens laid more eggs.

Step-by-step explanation:

Jade farm has number of chickens = 9

Each chickens laid number of eggs = 3

Total number of eggs on Jade's farm = 9 × 3 = 27 eggs

Ednas farm has chickens which laid a total of 23 eggs.

Difference between number of  eggs = 27 - 23 = 4

Therefore, Jade's chickens laid 4 more eggs.

(2,3)  is the ordered pair because both lines meet at this direct point on the graph.

x=2

y=3

Answer:

???

Step-by-step explanation:

Do you not have the full equation posted because t=1 is t=1

Answer: p ≥ 5

Step-by-step explanation:

Subtract 4 from both sides :

4+ 2p - 4 ≤ 3p-1 - 4

Simplify :

2p ≤ 3p -5

Subtract 3 p from both sides

2p - 3p ≤  3p - 5 - 3p

Simplify:

- p ≤ - 5

Multiply both sides by -1 (reverse the inequality right) :

( - p ) * ( - 1 ) ≥ ( -5 ) * ( - 1 )

Simplify :

p ≥ 5

Hope that helps!

s - the number of the t-shirts;

h - the number of hats:

The system of equations:

s + h = 23

10 s + 12 h = 246

--------------------------

s = 23 - h

10 * ( 23 - h ) + 12 h = 246

230 - 10 h + 12 h = 246

2 h = 246 - 230

2 h = 16

h = 16 : 2

h= 8

s = 23 - 8

s = 15

Answer: The basketball team sold 15 t-shirts and 8 hats.

mark me as brainliest answer

Answer:

If it were.... 5 dollars or so... That would be 30 dollars i think...

Step-by-step explanation:

The rental cost of the bike for 5.5 hours will be $55.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the bike rental company has determined that they will charge based on the nearest half-hour is $5.

The number of half-hours in 5.5 hours,

N = 5.5 / 0.5 = 11

The rental cost will be,

C = 11 x 5

C = $55

Therefore, the rental cost of the bike for 5.5 hours will be $55.

The complete question is given below.

The bike rental company has determined that they will charge based on the nearest half hour is $5. If Michael rented the bike for 5.5 hours how much would that cost?

To know more about an expression follow

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[tex]A=\{(2,\ 3),\ (5,\ 1),\ (-3,\ -2),\ (0,\ 3)\}\\\\X=\{2,\ 5,\ -3,\ 0\}\\\\Y=\{3,\ 1,\ -2}\\\\-3\ and\ -2\ are\ not\ a\ natural\ numberss.\\\\Therefore\ your\ answer\ is\ D.\ \mathbb{R}\ \times\ \mathbb{R}[/tex]

The set A= {(2,3),(5,1),(-3,-2),(0,3)} is a subset of 'R x R', the cartesian product of Real numbers and Real numbers because both elements of all pairs in the set A are real numbers.

The given set A contains ordered pairs where each pair is constituted of two elements. An ordered pair is always in the form of (a, b) where 'a' is from the first set and 'b' is from the second set in a Cartesian product.

In the given subsets:

A. N X R(Cartesian product of Natural numbers and Real numbers)

B. R X N(Cartesian product of Real numbers and Natural numbers)

C. N X N(Cartesian product of Natural numbers and Natural numbers)

D. R X R(Cartesian product of Real numbers and Real numbers)

Looking at the subset A= {(2,3),(5,1),(-3,-2),(0,3)}, we can observe the first element of each pair in the set, we have 2, 5, -3, and 0. Negative numbers and zero are not natural numbers. Therefore it can't be a subset of 'N x R' or 'N x N'. But they are real numbers. Hence, it could be either 'R x N' or 'R x R'. However, if we look at the second element of each pair, we see that they are 3, 1, -2, and 3. Among these, -2 is a negative number and is not a natural number, but is a real number. Therefore, the set A must be a subset of 'R x R', which is the cartesian product of Real numbers and Real numbers.

Learn more about Cartesian Product here:

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The simplified answer is 12k -1

Hope this helps!!!!!!!!1

Hello!

[tex]6k - 1 + 6k\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

First this problem it should be the group like terms.

[tex]6k+6k-1[/tex]

Then you add similar by the elements.

[tex]6k+6k=12k[/tex]

[tex]=12k-1[/tex]

Answer⇒⇒⇒⇒⇒⇒⇒=12k-1

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

x has to equal 1. 3/10 + 1/5 = 1/2

the equation is now 1/2 + x = 1 1/2x

x = 1

1 1/2 = 1 1/2

Final answer:

The Triangle Inequality Theorem is applied to determine the range of values for x that would make the side lengths given form a valid triangle.

Explanation:

Understanding the Triangle Inequality Theorem

The Triangle Inequality Theorem states that in any triangle, the length of any side must be less than the sum of the other two sides. For the given question, we need to use this principle to analyze the side lengths. With the two shorter sides given as [tex]\( \frac{3}{10} \) and \( x + \frac{1}{5} \)[/tex], and the longest side given as [tex]\( \frac{3}{2}x \)[/tex], we can establish the inequality:

[tex]\( \frac{3}{2}x < \frac{3}{10} + \left( x + \frac{1}{5} \right) \).[/tex]

By solving this inequality, we can find the range of possible values for x that makes the configuration a valid triangle. This problem is an application of basic geometric principles and inequalities.

24 miles because, s Ralph runs 15 miles in 5 days, so 5 times 3 =15 so 3 times 8 = 24 miles

To find how many pounds the elephant lost per month, divide 24lbs by 6 months, you get 4 pounds per month. Therefore the elephant loses 4 pounds per month.

Answer: 4 pounds per month

4 - 2/3x = -7 would be the equation to represent this.

He rode 6 blocks to the East than he rode 4 blocks to the West, so that means after he rode 6 blocks to the east he went backwards 4 blocks.

The equation is, 6-4=2 Because he only past 2 blocks from his home to arrive at the grocery store.

Bryce is 2 blocks past his house when he arrives at the grocery store.

To find out how many blocks past his house Bryce is when he arrives at the grocery store, we need to calculate the total distance he has traveled from his house to the grocery store. He rides 4 blocks west to school and then 6 blocks east to the grocery store. To find the total distance, we can subtract the distance traveled west from the distance traveled east: 6 blocks - 4 blocks = 2 blocks past his house.

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The letter "a" represents initial value. "b" is the rate, and "x" is time. Hope I could help!

I think the x-intercept will be (16/3,0)

AND the y-intercept to be (0,4)

slope=-3/4

x intercept= (16/3,0)

y intercept=(0,4)

Answer:

Proportion

Step-by-step explanation:

took test

[tex]Solution,\mathrm{Inverse\:of}\:5x+4:\quad \frac{x-4}{5}[/tex]

[tex]Steps:[/tex]

[tex]y=5x+4[/tex]

[tex]\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y, x=5y+4[/tex]

[tex](\mathrm{Solve}\:x=5y+4\:\mathrm{for}\:y),(x=5y+4)[/tex]

[tex]\mathrm{Switch\:sides}, 5y+4=x[/tex]

[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}, 5y+4-4=x-4[/tex]

[tex]\mathrm{Simplify}, 5y=x-4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5, \frac{5y}{5}=\frac{x}{5}-\frac{4}{5}[/tex]

[tex]\mathrm{Simplify}, y=\frac{x-4}{5}[/tex]

[tex]\mathrm{The\:Correct\:Answer\:is\:\frac{x-4}{5}}[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]\mathrm{-Austint1414}[/tex]

To find the inverse of f(x) = 5x + 4, swap x and y to get x = 5y + 4, solve for y to get y = (x - 4)/5, which is the inverse.

With the given function f(x) = 5x + 4, we first replace f(x) with y to get y = 5x + 4. We then swap x and y to get x = 5y + 4. To solve for y, we subtract 4 from both sides, giving us x - 4 = 5y. Then, we divide both sides by 5, yielding (x - 4)/5 = y. Therefore, y = (x - 4)/5, which is the inverse of the function f(x).

Find the area of each triangle and then add them together.

Bottom Triangle

A = [tex]\frac{1}{2}[/tex]b * h

  = [tex]\frac{1}{2}[/tex](160)(120)

  = 80(120)

  = 9600 m²

Top Triangle

First we need to find the side length. We can calculate the length of the hypotenuse using Pythagorean Theorem for the bottom triangle.

a² + b² = c²

120² + 160² = c²

14400 + 25600 = c²

40000 = c²

200 = c

Now we can use Pythagorean Theorem on the top triangle to find the missing side length.

a² + b² = c²

100² + b² = 200²

10000 + b² = 40000

              b² = 30000

              b ≈ 173

A = [tex]\frac{1}{2}[/tex]b * h

  = [tex]\frac{1}{2}[/tex](100)(173)

  = 50(173)

  = 8650 m²

Top Triangle + Bottom Triangle = Total Area

     8650       +        9600

                   18250

Answer: Area = 18,250 m²

so the equation for slope is y2-y1/x2-x2

so this would be -4-10/-5-0 which equals -14/-5 which is the same thing as 14/5

so the answer is 14/5 or if its mixed then 2 4/5

Hope this helps!

m=y2-y1/x2-x1

m=1-1/10-(-5)

m=1-1/10 + 5

m=0/15

Slope: m=0

The Answer is 1.6875 Hope this helps

what is the product of -15*(-1/2)

-15 * (-1/2)

-15 * -0.5 =

7.5

Hello!

[tex]-15*(-\frac{-1}{2} )[/tex]

[tex](\frac{-15}{1}) (\frac{-1}{2})[/tex]

[tex]\frac{(-15)(-1)}{(1)(2)}[/tex]

[tex]=\frac{15}{2}[/tex]

You can also round up to the nearest tenths is 7.5 to 8.0

Hope this helps! Thank you for posting your question at here on Brainly.

-Charlie

To figure out the number we need to set up our equation to make more sense.

3/5 = 30/x      (x is our missing number)

We know that what ever you do to the top of the fraction you can do to the bottom.

So if we multiply 3 x 10 we get 30.

Therefore to get the number we must multiply 5 by 10

5 x 10 = 50

So our answer and missing number is 50

2 jumbo + 1 medium = 4 med + 0.15

Multiply 2 jumbo smoothies by 2 which is >> 9.90+m =4 m+0.15

9.75=3m

Divide and it'll be 3.25

3.25=m

I Actually spent a hour trying to write an answer as it also challenged me, then i saw how simple it is i wish i could take back my time

Anyways, to find out the amout a medium smoothie cost we need to find the equation for it. With the given information we can find out that the cost of 4 medium smoothies is the same as 2 jumbos and one smoothie.So first lets find out the cost of 2 smoothies, 4.95 * 2 = 9.9.Now lets plot them into an equation.

4x+0.15=9.9+x

Simplyfy the equation by removing the x from the right side

4x-x=3x      x-x=0

so now our new equation is

3x+0.15=9.9

Next lets remove the 0.15

0.15-0.15 = 0       9.9-0.15=9.75

so our new equation is now

3x=9.75

Then, we simplify the x by dividing the amount of x's it has

3x/3=x            9.75/3=3.25

So, after doing all that math, we found out that x=3.25

So each smoothie costs $3.25

so, the equation would be 4x+0.15=9.9+x

We can test it out by plotting in the situation

(3.25*4)+0.15=13.15       9.9+3.25=13.15

Don't forget to add the extra amount.

I am so glad i was able to find this out, and hope this helps you, as i had trouble with it myself, and thats coming from someone who's taking honors!